MS-A0311 - Differential and integral calculus 3, 16.04.2019-29.05.2019

Credits: 5

Schedule: 16.04.2019 - 29.05.2019

Teaching Period (valid 01.08.2018-31.07.2020):

V Spring (2018-2019)

IV Spring (2019-2020)

Learning Outcomes (valid 01.08.2018-31.07.2020):

After the course the student will be able to

- evaluate multiple integrals in cartesian, cylindrical and spherical coordinates,

- analyze the properties of vector fields,

- evaluate line and surface integrals of vector fields,

- calculate the gradient, divergence and curl, and knows what they represent,

- explain the idea of Gauss’ and Stokes’ theorems, and apply them in calculations.

Content (valid 01.08.2018-31.07.2020):

Change of variables in multiple integrals, integration in cylindrical and spherical coordinates, vector fields, line and surface integrals, gradient, divergence, curl, Gauss’s, Green’s and Stokes’ theorems.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020):

Lectures, exercises, midterm exams/final exam.

24+24 (4+4)

Details on the course materials (applies in this implementation): Course book:

*Calculus, A Complete Course,* Adams and Essex, 8th edition (You can also use earlier editions of the book. However, the section numbering in earlier editions may be different from the 8th edition.)

Substitutes for Courses (valid 01.08.2018-31.07.2020):

Together with the course MS-A02XX substitutes the courses Mat-1.1020, Mat-1.1220, Mat-1.1320, Mat-1.1420, Mat-1.1520, Mat-1.1620, Mat-1.1720.

Substitutes the courses MS-A03XX Differential and integral calculus 3, MSA0310 Mathematics 2.

Course Homepage (valid 01.08.2018-31.07.2020):

https://mycourses.aalto.fi/course/search.php?search=MS-A0311

Prerequisites (valid 01.08.2018-31.07.2020):

MS-A02XX Differential and integral calculus 2.